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Finding the Third Proportional to 18,138.50 and 25,688.50

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Solution

The third proportional to 18,138.50 and 25,688.50 is: 36,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.50 : 25,688.50 = 25,688.50 : x
  2. Step 2: Convert to fraction form
    18,138.50/25,688.50 = 25,688.50/x
  3. Step 3: Cross multiply
    18,138.50x = 25,688.50 × 25,688.50
  4. Step 4: Simplify right side
    18,138.50x = 659,899,032.25
  5. Step 5: Solve for x
    x = 659,899,032.25/18,138.50
  6. Step 6: Final answer
    x = 36,381.12

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.